中文摘要：

在传统的无网格Galerkin法中,采用滑动Kriging插值方法构造形函数,并与无网格方法相结合建立一种新的无网格方法。依此方法所构造的形函数具有Kroneckerδ-函数属性,便于直接施加强制边界条件。结合弹性力学边值问题,阐述该方法的基本原理,进而通过算例计算与分析,考察该方法的计算精度及其效率。

英文摘要：

　Presented in this paper is a new formulation of the element-free Galerkin method for the boundary-value problems of solid mechanics in which the moving Kriging interpolation procedure is employed instead of moving least squared procedure to construct shape function.The proposed procedure is characterized by the feature that the shape function constructed by moving Kriging procedure possess the property of Kronecker δ-function and the consistency property.At the same time,the specified essential boundary conditions can be easily implemented while displacement boundary conditions are not easily imposed in the conventional element-free methods.The fundamental theory of this procedure is illustrated;and mathematical formulations are given.Then numerical examples are analyzed by the proposed procedure;and the computed results are compared with other solutions to verify the effectiveness and accuracy of the proposed method.